Lesson Objective

This lesson shows you the basics behind the
first three exponent laws. You'll learn how
these laws are actually formulated...

About This Lesson

Let's say you need to find out the result (in
the form of 2^{???}) of the multiplication of the numbers
below:

2^{1000} x 2^{1007}

Now, if you try to solve it by calculating the actual value of 2^{1000} or 2^{1007},
you will soon realize that it is very difficult to do so.

Fortunately, with the help of the first exponent law, you will quickly know that:

2^{1000} x 2^{1007}
= 2^{1000 + 1007}

= 2^{2007}

This lesson shows you the basics behind the first three exponent laws. It is good to understand these laws first before using them.

2

Now, if you try to solve it by calculating the actual value of 2

Fortunately, with the help of the first exponent law, you will quickly know that:

2

= 2

This lesson shows you the basics behind the first three exponent laws. It is good to understand these laws first before using them.

Tip #1

it is defined that:

For example, consider the term

Tip #2

It is very important to understand how the
exponents laws are formulated. Once you
fully understood them, it's easier to avoid
mistakes when applying these laws.

For example, usually those who don't understand the logic behind these laws will tend to make**this mistake**:

2^{3}
x 2^{2} = 2^{3 x 2} (wrong
application of the first law)

= 2^{6}

= 64 (oops!!...mistake)

When you use your calculator to check, you will find out that actually:

2^{3}
x 2^{2} = 8 x 4

= 32 (correct!)

So, do realize the consequences for applying the exponent laws without understanding them.

For example, usually those who don't understand the logic behind these laws will tend to make

2

= 2

= 64 (oops!!...mistake)

When you use your calculator to check, you will find out that actually:

2

= 32 (correct!)

So, do realize the consequences for applying the exponent laws without understanding them.

Math Video Transcript

Multiple Choice Questions (MCQ)

Now, let's try some MCQ questions to understand
this lesson better.

You can start by going through the series of questions on exponent laws or pick your choice of question below.

You can start by going through the series of questions on exponent laws or pick your choice of question below.

- Question 1 on the basics of the first three exponent laws

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